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Finding the Fourth Proportional to 9,600.68, 14,399.65 and 3,026.01

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Solution

The fourth proportional to 9,600.68, 14,399.65 and 3,026.01 is: 4,538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.68 : 14,399.65 = 3,026.01 : x
  2. Step 2: Convert to fraction form
    9,600.68/14,399.65 = 3,026.01/x
  3. Step 3: Cross multiply
    9,600.68x = 14,399.65 × 3,026.01
  4. Step 4: Simplify right side
    9,600.68x = 43,573,441.33
  5. Step 5: Solve for x
    x = 43,573,441.33/9,600.68
  6. Step 6: Final answer
    x = 4,538.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.